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Finding the Third Proportional to 429,132 and 913,704

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Solution

The third proportional to 429,132 and 913,704 is: 1,945,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,132 : 913,704 = 913,704 : x
  2. Step 2: Convert to fraction form
    429,132/913,704 = 913,704/x
  3. Step 3: Cross multiply
    429,132x = 913,704 × 913,704
  4. Step 4: Simplify right side
    429,132x = 834,854,999,616
  5. Step 5: Solve for x
    x = 834,854,999,616/429,132
  6. Step 6: Final answer
    x = 1,945,450.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.